Composition of Functions

Let and .
The composite function uses the output of as input to . For example, if then the output of would be . We plug this output 16 into to get
The composite function is also sometimes written as . We say this out loud as "f of g of x."
Here's another example:
Let and .
Then, .
The formula for is .
Answer the multiple choice questions below to test your understanding of the composition of functions. Then move on to the next page of this GeoGebra book.